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Conversions & Units

BTU to kW Calculator

Converts BTU/hr to kilowatts, tons of refrigeration, watts, and horsepower

Updated May 27, 2026 · Live

What this tool does

Converts a heating or cooling rate in BTU per hour to kilowatts, tons of refrigeration, watts, and mechanical horsepower. The conversion factor is exact; all four outputs are derived simultaneously.

Inputs
BTU/hr
Result

36,000 BTU/hr in kW

10.551 kW

Tons of Refrigeration
3.000 tons
Watts
10,551 W
Horsepower
14.149 hp
Formula
kW = BTU/hr ÷ 3,412.14
Formula Used
Heating or cooling rate in BTU per hour

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How the BTU/hr to kilowatt conversion works

BTU per hour (BTU/hr) and kilowatts (kW) both measure the rate at which energy is transferred — power. They are linked by a fixed thermodynamic relationship: 1 kilowatt equals exactly 3,412.142 BTU/hr. To convert BTU/hr to kW, divide by that factor: kW = BTU/hr ÷ 3,412.142. The result is exact for the rate entered; no estimation or approximation is involved in the arithmetic.

The exact conversion factor and its origin

One BTU (British Thermal Unit) is the amount of heat required to raise one pound of water by 1 °F at standard conditions. One kilowatt-hour is 3,600,000 joules (3,600 kJ). Converting BTU to joules: 1 BTU = 1,055.05585 J (the IT definition used in ASHRAE and most HVAC standards). Multiply: 3,600,000 J/hr ÷ 1,055.05585 J/BTU = 3,412.142 BTU/hr per kW. This is the ASHRAE/AHRI-standard factor used for rating heating and cooling equipment.

The calculator uses 3,412.142 BTU/hr = 1 kW, giving: kW = BTU/hr ÷ 3,412.142. Results are displayed to three decimal places.

What a ton of refrigeration is

In US HVAC practice, air-conditioning capacity is expressed in tons of refrigeration as well as BTU/hr. One ton of refrigeration is defined as 12,000 BTU/hr — the rate of heat absorption required to melt one short ton (2,000 lb) of ice in 24 hours. Converting: 12,000 BTU/hr ÷ 3,412.142 = 3.517 kW per ton. The calculator shows this alongside kW so an equipment rating given in tons reads directly as a kilowatt figure without a second lookup.

Outputs shown by this calculator

kW (kilowatts): the primary SI power unit for electrical load calculations and international equipment specs. Tons of refrigeration: the US industry standard for air-conditioning capacity (1 ton = 12,000 BTU/hr = 3.517 kW). Watts: kW × 1,000 — the same value in the base SI unit, useful for comparing against electrical panel ratings or circuit breakers. Mechanical horsepower: kW × 1.34102 — the traditional unit sometimes seen on older equipment nameplates (1 mechanical hp = 745.7 W = 2,544.43 BTU/hr).

Worked examples (verified)

A 1-ton window air conditioner: 12,000 BTU/hr ÷ 3,412.142 = 3.517 kW (1.000 ton, 3,517 W, 4.716 hp). A 2-ton central unit: 24,000 BTU/hr ÷ 3,412.142 = 7.034 kW (2.000 tons, 7,034 W, 9.432 hp). A 3-ton system: 36,000 BTU/hr ÷ 3,412.142 = 10.551 kW (3.000 tons, 10,551 W, 14.149 hp). A 4-ton system: 48,000 BTU/hr ÷ 3,412.142 = 14.067 kW (4.000 tons, 14,067 W, 18.865 hp). A 5-ton system: 60,000 BTU/hr ÷ 3,412.142 = 17.584 kW (5.000 tons, 17,584 W, 23.581 hp).

Where BTU/hr and kW appear in US HVAC practice

US residential and light-commercial HVAC equipment — air conditioners, heat pumps, furnaces, boilers, water heaters — is rated in BTU/hr or in tons of refrigeration (cooling only). Electrical engineers and utility engineers work in kilowatts when sizing service panels, calculating demand loads, or comparing a heat pump against its electrical draw. International equipment catalogs, ISO and EN standards, and European or Canadian specification sheets express ratings in kW. Converting between the two is a routine step when specifying equipment across those boundaries.

ASHRAE Standard 90.1 (Energy Standard for Buildings) and IECC energy code compliance calculations reference efficiency metrics such as COP (coefficient of performance), EER (energy efficiency ratio), and SEER (seasonal energy efficiency ratio), all of which involve the ratio of BTU/hr output to watt input. This calculator produces the kW figure that feeds those ratios.

The room volume calculator determines a space's heating or cooling load in BTU/hr (via a Manual J or rule-of-thumb method); the BTU-to-kW conversion then translates that load into the kW figure needed for heat-pump or mini-split selection sheets, which often list both units side by side.

Precision and rounding

The calculator displays kW and tons to three decimal places, watts to the nearest whole number, and horsepower to three decimal places. The underlying factor 3,412.142 is rounded from the more precise 3,412.14163... BTU/hr — the same rounding used in ASHRAE and AHRI publications. For equipment sizing, three decimal places in kW represents precision well below any measurement uncertainty in the load calculation; the conversion itself is not the limiting factor.

Using this alongside other BuildMetricLab tools

The Fahrenheit-to-Celsius calculator handles temperature-unit conversion for HVAC performance data that states outdoor design temperatures in °F while equipment curves are drawn in °C. The room volume calculator provides the cubic footage needed for rough BTU/hr load estimation. The towel warmer BTU calculator converts small radiant-heat appliance ratings. All BuildMetricLab tools run entirely in the browser — no sign-up, no data sent anywhere, and every formula is shown on the page so the math can be audited.

Sources & methodology

Divides the input rate in BTU/hr by 3,412.142 to give kilowatts (displayed to 3 dp). Tons of refrigeration = BTU/hr ÷ 12,000 (3 dp). Watts = kW × 1,000 (0 dp). Mechanical horsepower = kW × 1.34102 (3 dp). The factor 3,412.142 is the ASHRAE/AHRI-standard rounded value of the exact relationship 1 kW = 3,412.14163... BTU/hr, derived from 1 BTU (IT) = 1,055.05585262 J and 1 kWh = 3,600,000 J.

Frequently asked questions

Is 1 kW exactly 3,412.142 BTU/hr?

The factor 3,412.142 is a rounded representation. One kilowatt-hour equals exactly 3,600,000 joules; one BTU (IT definition) equals 1,055.05585262 joules. Dividing gives 3,412.14163... BTU/hr per kW. The calculator uses 3,412.142, the same rounding used in ASHRAE and AHRI publications. The difference from the full-precision value is less than 0.001 BTU/hr per kW — negligible for any equipment sizing application.

How many BTU/hr are in one ton of refrigeration?

One ton of refrigeration is exactly 12,000 BTU/hr. This is the rate of heat absorption needed to melt one short ton (2,000 lb) of ice in 24 hours: 2,000 lb × 144 BTU/lb (latent heat of fusion) ÷ 24 hr = 12,000 BTU/hr. At 3,412.142 BTU/hr per kW, one ton equals 3.517 kW.

Does this convert kW back to BTU/hr?

This calculator takes BTU/hr as the input. The reverse relationship is BTU/hr = kW × 3,412.142 — a direct multiplication by the same factor. The conversion is linear and exact in both directions.

Why does the calculator show watts and horsepower as well as kW?

Watts (W = kW × 1,000) are the base SI power unit, useful when comparing HVAC loads against electrical panel ratings or circuit breaker ampacities. Mechanical horsepower appears on some older equipment nameplates and in certain fan or compressor specifications. All four outputs are derived simultaneously from the single BTU/hr input using exact conversion factors.

Does this replace professional HVAC sizing advice?

The arithmetic is exact — the conversion factor is a defined thermodynamic relationship. Correct equipment sizing depends on a full load calculation (Manual J for residential, Manual N for commercial, or equivalent), which accounts for climate zone, insulation levels, infiltration, occupancy, and other variables. This calculator converts a known BTU/hr figure to kW; it does not perform a load calculation.

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